2006.55: Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations
2006.55: Howard Elman, Victoria Howle, John Shadid, David Silvester and Ray Tuminaro (2007) Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. SIAM Journal on Scientific Computing, 30 (1). pp. 290-311. ISSN 1095-7197
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DOI: 10.1137/060655742
Abstract
This paper introduces two stabilization schemes for the Least Squares Commutator (LSC) preconditioner developed by Elman, Howle, Shadid, Shuttleworth and Tuminaro [SIAM J. Sci. Comput., 27, 2006, pp. 1651–1668] for the incompressible Navier-Stokes equations. This preconditioning methodology is one of several choices that are effective for Navier-Stokes equations, and it has the advantage of being defined from strictly algebraic considerations. It has previously been limited in its applicability to div-stable discretizations of the Navier-Stokes equations. This paper shows how to extend the same methodology to stabilized low-order mixed finite element approximation methods.
| Item Type: | Article |
|---|---|
| Additional Information: | Copyright © 2007 SIAM. All rights reserved. |
| Uncontrolled Keywords: | preconditioning, Navier-Stokes, iterative algorithms |
| Subjects: | MSC 2000 > 65 Numerical analysis |
| MIMS number: | 2006.55 |
| Deposited By: | professor david silvester |
| Deposited On: | 04 January 2008 |
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